5 papers
-adic -functions for
Michael Harris, Ming-Lun Hsieh, Shunsuke Yamana
We construct the five-variable -adic -function attached to Hida families on , interpolating the square-root of Rankin-Selberg -values i…
Translation functors, branching problems, and applications to the restriction of coherent cohomology of Shimura varieties
Michael Harris, Toshiyuki Kobayashi, Birgit Speh
We study properties of the restriction of discrete series representations of to and the corresponding symmetry breaking operators in $\operatorname{Hom}_{…
Factorization of periods, construction of automorphic motives and Deligne's conjecture over CM-fields
Harald Grobner, Michael Harris, Jie Lin
The present paper is devoted to the relations between Deligne's conjecture on critical values of motivic -functions and the multiplicative relations between periods of arithmeti…
Derived structures in the Langlands Correspondence
Tony Feng, Michael Harris
We survey several recent examples of derived structures emerging in connection with the Langlands correspondence. Cases studies include derived Galois deformation rings, derived He…
Inductive construction of supercuspidal -packets
Raphaël Beuzart-Plessis, Michael Harris, Jack Thorne
Genestier--Lafforgue and Fargues--Scholze have constructed a semisimple local Langlands paramterization for reductive groups over equicharacteristic local fields. Assuming a versio…